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University of Patras

Η ΠΟΣΟΔΕΙΞΗ ΣΤΟΝ ΕΛΛΗΝΙΚΟ ΜΑΘΗΜΑΤΙΚΟ ΛΟΓΟ

Abstract

dc:description

THE CONCEPT OF QUANTIFICATION APPEARS IN THE FIRST EXPRESSIONS OF MATHEMATICAL LANGUAGES IN THE FIRST ANNUNCIATIONS OF THEOREMS. IN THIS PERIOD THE FIRST VARIABLES APPEAR AS THE ICONS OF THE MATHEMATICAL OBJECTS. IN THE BEGINNING OF THE MATHEMATICAL LANGUAGE, (HIPPOKRATES), THE LETTERS OF THE GREEK ALPHABET WERE JUST USED AS SIGNS OF ORIENTATION. IN EUCLIDE'S WORK, THEY BECAME NAMES OF THE ICONS OF MATHEMATICAL OBJECTS. SINCE THAT PERIOD, DISCOURSE IS STRUCTURED IN TWO LEVELS: MATHEMATICAL- EPIMATHEMATICAL. THESE TWO LEVELS WERE SO DISTINGUISHED TO EACH OTHER THAT IMPERATIVE IS THE INCLINATION OF THE EPIMATHEMATICAL LEVEL INTHE SAME WAY THAT DEFINITIVE IS IN THE MATHEMATICAL. THERE ARE THREE CATEGORIES OF SYNTACTIC STRUCTURES EXPRESSING MUTIFICATIONS: EXPLICIT, MORE OR LESS EXPLICIT, IMPLICIT. SIX DIFFERENT STRUCTURES ARE USED, FOR THE V-QUANTIFICATION, AND ONLY ONE FOUR THE ]-QUANTIFICATION. IN THE EPIMATHEMATICAL LEVEL, THERE EXISTFOR STRUCTURES EXPRESSING MUTIFICATIONS. THE FORM OF PRESENTATION THE AXIOMS IS IN THE EPIMATHEMATICAL LEVEL (THE AXIOMS ARE PRESENTED), WHILE THE "COMMON SENSE" AND THE DEFINITIONS ARE SIMPLY STATED IN THE MATHEMATICAL LEVEL. FOR THIS REASON THEY HAVE A DIFFERENT SYNTACTIC STRUCTURE.

Degree

thesis:*
Grantor dc:publisher
University of Patras
Year dc:date
1991

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Παπαδοπετράκης, Ευτύχιος

Subjects

dc:subject × 24

Rights

Language dc:language
gre

Identifiers

dc:identifier.*
Identifier
10.12681/eadd/1614
OAI identifier oai:identifier
oai:10442/1614

Chain of custody

source
Harvested from
Greek National Archive of PhD Theses
Base URL
phdtheses.ekt.gr/eadd_oai/request
Last updated
2026-07-24
Source record
OAI-PMH GetRecord
citation

Παπαδοπετράκης, Ευτύχιος. Η ΠΟΣΟΔΕΙΞΗ ΣΤΟΝ ΕΛΛΗΝΙΚΟ ΜΑΘΗΜΑΤΙΚΟ ΛΟΓΟ. University of Patras, 1991. http://hdl.handle.net/10442/hedi/1614